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Simplifying 3(2x + 4) + -2(x + 1) = 4(x + -5) Reorder the terms: 3(4 + 2x) + -2(x + 1) = 4(x + -5) (4 * 3 + 2x * 3) + -2(x + 1) = 4(x + -5) (12 + 6x) + -2(x + 1) = 4(x + -5) Reorder the terms: 12 + 6x + -2(1 + x) = 4(x + -5) 12 + 6x + (1 * -2 + x * -2) = 4(x + -5) 12 + 6x + (-2 + -2x) = 4(x + -5) Reorder the terms: 12 + -2 + 6x + -2x = 4(x + -5) Combine like terms: 12 + -2 = 10 10 + 6x + -2x = 4(x + -5) Combine like terms: 6x + -2x = 4x 10 + 4x = 4(x + -5) Reorder the terms: 10 + 4x = 4(-5 + x) 10 + 4x = (-5 * 4 + x * 4) 10 + 4x = (-20 + 4x) Add '-4x' to each side of the equation. 10 + 4x + -4x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 0 = -20 + 4x + -4x 10 = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 10 = -20 + 0 10 = -20 Solving 10 = -20 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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